Least Common Multiple of 453 and 459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 453 and 459 the smallest integer that is 69309 that is divisible by both numbers.

Least Common Multiple (LCM) of 453 and 459 is 69309.

LCM(453,459) = 69309

LCM of 453 and 459

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 453 and 459

LCM of 453 and 459 is 69309

Least common multiple can be found by multiplying the highest exponent prime factors of 453 and 459. First we will calculate the prime factors of 453 and 459.

Prime Factorization of 453


3 453
151 151
1

Prime factors of 453 are 3,151. Prime factorization of 453 in exponential form is:

453 = 31×1511

Prime Factorization of 459


3 459
3 153
3 51
17 17
1

Prime factors of 459 are 3,17. Prime factorization of 459 in exponential form is:

459 = 33×171

Now multiplying the highest exponent prime factors to calculate the LCM of 453 and 459.

LCM(453,459) = 33×171×1511
LCM(453,459) = 69309

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Least Common Multiple of 453 and 459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 453 and 459, than apply into the LCM equation.

GCF(453,459) = 3
LCM(453,459) = ( 453 × 459) / 3
LCM(453,459) = 207927 / 3
LCM(453,459) = 69309

Properties of LCM 453 and 459

(i) The LCM of 459 and 453 is associative

LCM of 453 and 459 = LCM of 459 and 453

Related Least Common Multiples of 453

Related Least Common Multiples of 459

Frequently Asked Questions on LCM of 453 and 459

1. What is the LCM of 453 and 459?

Answer: LCM of 453 and 459 is 69309.

2. What are the Factors of 453?

Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.

3. What are the Factors of 459?

Answer: Factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459. There are 8 integers that are factors of 459. The greatest factor of 459 is 459.

4. How to Find the LCM of 453 and 459?

Answer:

Least Common Multiple of 453 and 459 = 69309

Step 1: Find the prime factorization of 453

453 = 3 x 151

Step 2: Find the prime factorization of 459

459 = 3 x 3 x 3 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 69309 = 3 x 3 x 3 x 17 x 151

Step 4: Therefore, the least common multiple of 453 and 459 is 69309.